Pith Number

pith:X2CUGXTR

pith:2008:X2CUGXTRRRI2RTRNANB2FEVSH7

not attested not anchored not stored refs pending

A note on James spaces and superstrictly singular operators

Dan Timotin, Emmanuel Fricain (ICJ), Isabelle Chalendar (ICJ)

arxiv:0805.3409 v1 · 2008-05-22 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2CUGXTRRRI2RTRNANB2FEVSH7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:59:06.978484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be85435e718c51a8ce2d0343a292b23fe46d544926925389e1ea573d07916768

Aliases

arxiv: 0805.3409 · arxiv_version: 0805.3409v1 · doi: 10.48550/arxiv.0805.3409 · pith_short_12: X2CUGXTRRRI2 · pith_short_16: X2CUGXTRRRI2RTRN · pith_short_8: X2CUGXTR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X2CUGXTRRRI2RTRNANB2FEVSH7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: be85435e718c51a8ce2d0343a292b23fe46d544926925389e1ea573d07916768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf704226b38b4b54625288b773b5170dbc1802fdfa78910b7ee74991e1bae82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-05-22T08:43:05Z",
    "title_canon_sha256": "6c6ea184c619dbbabb7aeeef9935524f41b08c1beaaee534bcc0b4973e01fc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3409",
    "kind": "arxiv",
    "version": 1
  }
}